-i 27:1. Let xj, x2 and x3 be the excess of heights of father, mother and son respectively in 100samples above their respective mean values in cm. A distribution of these variables gave the followingcorrelation coefficients r; between x; and x; and standard deviations o, = V V(x) for i, j = 1, 2, 3;r 12= 0•3,r23 = 0.4,r31 = 0:50 = 3,O, = 2,O3 = 4Obtain a regression equation of x1 on x2 and x3, and estimate the excess of height of father when excessof heights of mother and son are 0-7 cm and 2:1 cm respectively.= 8 5.

Answered: Image /qna-images/answer/0658a709-e6ce-4811-9b52-22d371ce2e2b.jpg

Answered: 27:1. Let x1, x2 and x3 be the excess…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Consider a set of data (x₁, yi), i=1,2,..0 and the Simple linear regression equation given by : 4 y₁ = B₁+ B₁²x₁ The /s Standardized random variable of given by 2= B₂₁ - B²₁₂² FSSxx find the mean and the variance of Zo
7. Assume that X and Y have a bivariate normal distribution having means 14.l and 1.3, and standard deviations 2.5 and 0.1, respectively, with correlation coefficient 0.8. Find P(Y >1.4|X =15) and P(X >15|Y = 1.4).
If the RVSX1, X2,..., X, all have n .2 the same variance s and he correlation oxil ficient between each pair (X;, X;), i # jof them is p, show that the correlation coefficient 2n between -1 X; and Li=n+1 X; is %3D1 пр 1+(n-1)p
Consider the following data points, where the first coordinate corresponds to x and the second coordinate corresponds to y (0.1) (1.1) (2.0) (3,7) Observe there is a missing value (?). It is known that: • the variance of b, is equal to 0.25 • the t-statistic associated to b, is equal -0.8 (this is, minus 0.8) Compute the Adjusted r Squared (Enter your answer to one decimal place. For "0.9", you would write 0.9). Do not round.
1. A study compared the number of tree species in unlogged forest plots to similar plots logged 8 years earlier. Independent random samples of both logged and unlogged plots were analyzed and the number of tree species was recorded. Tables 1 and 2 present the Shapiro-Wilk normality test for both types of forest plots and the Independent Samples t-test results. Use the information presented in these tables to answer the questions. Table 1: Tests of Normality Tests of Normality Kolmogorov-Smirnov Shapiro-Wilk Forest Plot Statistic df Sig. Statistic df Sig. Tree_Species Logged .181 12 .200 .936 12 .444 Unlogged .110 14 .200 .945 14 .480 *. This is a lower bound of the true significance. a. Lilliefors Significance Correction Table 2: Independent Samples Test Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference Mean Std. Error F Sig. t df Sig. (2-tailed) Difference Difference Lower Upper Equal variances…
7)
27.12. In a certain trivariate distribution, s, = 3, s = s 3 = 5, r12- 0:7, r23 = r31 = 06 Find (i) the partial correlation coefficient r2 and (ii) regression coefficient b12.3 Hence (not otherwise) find the value of b21
Suppose that Melanie is a researcher who wishes to estimate the mean birthweight of full-term babies in her hospital. What is the minimum number of babies should she sample if she wishes to be at least 90% confident that the mean birthweight of the sample is within 225 grams of the the mean birthweight of all babies? Assume that the distribution of birthweights at her hospital is normal with a standard deviation of 600 g.
18. A set of n = 52 pairs of scores (X and Y values) in a research study has a Pearson correlation of r = -0.7. What percentage of the variance for the Y scores is predicted by its relationship with X?
1.A chi-square test for independence is being used to evaluate the relationship between two variables, one of which is classified into 2 categories and the second of which is classified into 4 categories. What is the df value for the chi-square statistic? a. df = 2 b. df = 6 c. df = 7 d. df = 3
1. A study compared the number of tree species in unlogged forest plots to similar plots logged 8 years earlier. Independent random samples of both logged and unlogged plots were analyzed and the number of tree species was recorded. Tables 1 and 2 present the Shapiro-Wilk normality test for both types of forest plots and the Independent Samples t-test results. Use the information presented in these tables to answer the questions. Table 1: Tests of Normality Tests of Normality Kolmogorov-Smirnov Shapiro-Wilk Forest Plot Statistic df Sig. Statistic df Sig. Tree_Species Logged .181 12 .200 .936 12 .444 Unlogged .110 14 .200 .945 14 .480 *. This is a lower bound of the true significance. a. Lilliefors Significance Correction Table 2: Independent Samples Test Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference Mean Std. Error F Sig. t df Sig. (2-tailed) Difference Difference Lower Upper Equal variances…

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